重模多项式环中逆元素的存在性判断及求法  

EXISTENCE DETERMINATION AND SOLUTIONG OF THE POLYNOMIAL INVERSE IN REPEAT MODULE POLYNOMIAL RING

作　　者：赵红芳 胡波 冯春雨 

机构地区：[1]河北省应用数学研究所,050081

出　　处：《中国科技信息》2009年第8期45-47,共3页China Science and Technology Information

基　　金：河北省自然科学基金(批准号:F2006000711)

摘　　要：文中给出了(p为素数)环上元素互素的一个充要条件,然后根据此充要条件给出数模为pt时重模多项式环上逆元素的存在性判断方法及一种求逆算法。In this paper, we present a suffcient and necessary condition of the polynomials which are prime to each othe in Zp [X] firstly. Them ,according to that we propose an existence judgment of the inverse of polynomial in repeat module polynomial ring. At last, we bring forward an algorithm to carry out the judging and solving of the polynomial inverse.

关 键 词：互素 整数环 多项式剩余类环 重模多项式环 

分 类 号：O153.3[理学—数学] O241.6[理学—基础数学]